Question

Please help!! 45 points!!

A ball is projected into the air. Its height at time, t, is given by the equation h=-16t^2 + 100t + 2. When will the ball return to the ground?

A.0.02 sec
B. 6.3 sec
C. 6.5 sec
D. 16 sec

Answer 1

The ball will return to the ground at t = 16 seconds, so the correct answer is D

Explanation:

.To find when the ball will return to the ground, we need to find the time at which the ball's height is equal to 0. We can do this by setting the height equation equal to 0 and solving for t.h = -16t^2 + 100t + 2

0 = -16t^2 + 100t + 2

-2 = -16t^2 + 100t

-0.125t = -2

t = 16

This is the time at which the ball's height is 0, so the ball will return to the ground at t = 16 seconds.